# Stored data for abelian variety isogeny class 2.4.a_ad, downloaded from the LMFDB on 16 May 2024.
{"label": "2.4.a_ad", "g": 2, "p": 2, "q": 4, "poly": [1, 0, -3, 0, 16], "poly_str": "1 0 -3 0 16 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.188821353230438, 0.811178646769562], "angle_rank": 1, "number_fields": ["4.0.48400.1"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [14, 196, 4214, 78400, 1046654, 17757796, 268449734, 4292870400, 68719640654, 1095484595716], "abvar_counts_str": "14 196 4214 78400 1046654 17757796 268449734 4292870400 68719640654 1095484595716 ", "abvar_count": 14, "curve_counts": [5, 11, 65, 303, 1025, 4331, 16385, 65503, 262145, 1044731], "curve_counts_str": "5 11 65 303 1025 4331 16385 65503 262145 1044731 ", "curve_count": 5, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.55.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.4.a_d", "2.256.bu_bob", 4]], "twist_count": 2, "max_twist_degree": 4, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.4.a_ad"], "simple_multiplicities": [1], "simple_factors": ["2.4.a_adA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, 0, -11], "jacobian_count": 2, "curves": ["y^2+(x^2+x+a+1)*y=(a+1)*x^5+(a+1)*x^3+a*x^2+(a+1)*x+1", "y^2+(x^2+x+a+1)*y=a*x^5+a*x^3+(a+1)*x^2+a"], "hyp_count": 2, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 25, "geometric_splitting_field": "2.0.55.1", "splitting_field": "4.0.48400.1", "geometric_splitting_polynomials": [[14, -1, 1]], "splitting_polynomials": [[16, 0, -3, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 4, "principal_polarization_count": 4, "pic_prime_gens": [[1, 2, 1, 4]]}